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Segal algebras with functorial properties. (English) Zbl 0518.46039

MSC:
46J10 Banach algebras of continuous functions, function algebras
43A20 \(L^1\)-algebras on groups, semigroups, etc.
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
22B10 Structure of group algebras of LCA groups
Citations:
Zbl 0461.43002
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References:
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[4] Bürger, R.: Functions of translation type and Wiener’s algebra. Archiv Math.36, 73–78 (1981). · Zbl 0444.43001
[5] Bürger, E.: Functions of translation type and functorial properties of Segal algebras I. Mh. Math.90, 101–115 (1980). · Zbl 0433.43001
[6] Bürger, R.: Functions of translation type and functorial properties of Segal algebras II. Mh. Math.92, 253–268 (1981). · Zbl 0461.43002
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[10] Kahane, J. P.: Series de Fourier absolument convergentes. Berlin-Heidelberg-New York: Springer. 1970. · Zbl 0195.07602
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[12] Liu, T. S., Rooij, A. v., Wang, J. K.: On some group algebra modules related to Wiener’s algebraM 1. Pacific J. Math.55, 507–520 (1974). · Zbl 0303.43011
[13] Losert, V.: A characterization of the minimal strongly character invariant Segal algebra. Ann. Inst. Fourier Grenoble30 (3), 129–139 (1980). · Zbl 0425.43003
[14] Reiter, H.: Classical Harmonic Analysis and Locally Compact Groups. Oxford: Univ. Press, 1968. · Zbl 0165.15601
[15] Reiter, H.: Über den Satz von Weil-Carter. Mh. Math.86, 13–62 (1978). · Zbl 0396.43015
[16] Cowling, M. G.: Extension ofL p q multipliers. Trans. Amer. Math. Soc.213, 1–33 (1975). · Zbl 0311.43007
[17] Glimm, J.: Families of induced representations. Pacific J. Math.12, 885–911 (1962). · Zbl 0121.10303
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